Low density ethylene-based compositions with improved melt strength, output, and mechanical properties

ABSTRACT

The invention provides a composition comprising the following:
     A) a first ethylene-based polymer, formed by a high pressure, free-radical polymerization process, and comprising the following properties:
       a) a Mw(abs)/Mw(GPC)&lt;2.2; and   b) a MS versus I2 relationship: MS≥C×[(I2) D ], where C=13.5 cN/(dg/min) D , and D=−0.55,   c) a melt index (I2) from 0.1 to 0.9 g/10 min; and   
       B) a second ethylene-based polymer; and
       wherein the second ethylene-based polymer has a melt index (I2) from 0.1 to 4.0 g/10 min.

REFERENCE TO RELATED APPLICATIONS

This application is a Continuation of application Ser. No. 14/889,168 filed on Nov. 5, 2015, now allowed, which is a 35 U.S.C. of § 371 of International Application No. PCT/US2014/038944, filed on May 21, 2014, which claims the benefit of U.S. Provisional Application 61/826,271 filed on May 22, 2013.

BACKGROUND

Blown film production lines are typically limited in output by bubble stability. Blending Linear Low Density Polyethylene (LLDPE) with Low Density Polyethylene (LDPE) increases bubble stability, in part due to the higher melt strength of the LDPE. The increase in melt strength in part provides for an increase in film output. However, too high a melt strength, especially as with broad molecular weight distribution (MWD), autoclave LDPEs with fractional melt indexes, can cause gels, limiting drawdown capabilities, which can result in poor quality films. Also, high melt strength LDPE resins typically have reduced optics. Thus, there is a need for new compositions containing ethylene-based polymers, such as tubular LDPEs, that have an optimized balance of melt strength, optics and mechanical properties, for blown film applications.

Linear Low Density Polyethylene (LLDPE) is typically more difficult to process on a blown film line with generally poorer bubble stability, or lower maximum output (mass/time such as pounds per hour) than Low Density Polyethylene (LDPE). Films made with Linear Low Density Polyethylene (LLDPE), however, generally have better film mechanical properties than those made with Low Density Polyethylene (LDPE). Film processing and film properties are to a large extent optimized for blown films by blending Linear Low Density Polyethylene (LLDPE) with Low Density Polyethylene (LDPE). Blending in lower amounts of LDPE into LLDPE typically leads to improved processing compared to pure LLDPE, improved optical properties, and acceptable mechanical properties. Blending in high amounts of LDPE into LLDPE improves processing further and allows thick film of a very large bubble diameter to be produced, while the mechanical and optical film properties are maintained or improved over film made from pure LDPE. LDPE-rich films are also especially suited to shrink films, such as collation shrink films, where the LDPE imparts good shrinkage behavior which cannot be achieved by the use of a LLDPE alone. In summary, the LDPE blend component contributes typically to the processability, optical properties, and shrink performance, while the LLDPE blend component contributes to the mechanical properties.

There is a need for new compositions that can increase the melt strength and the processing performance over conventional LDPE/LLDPE blends, and which can be made at low conversion costs in a tubular process. Furthermore, there is need for LDPE/LLDPE compositions with improved performance in processing (maximum line speed and or large bubble operation) and/or film properties (mechanical and shrink performance and/or optical appearance).

Low density polyethylenes and blends are disclosed in the following: U.S. Publication 2014/0094583; U.S. Pat. Nos. 5,741,861; 7,741,415; 4,511,609; 4,705,829; U.S. Publication No. 2008/0038533; JP61-241339 (Abstract); JP2005-232227 (Abstract); and International Publication Nos. WO2010/144784, WO2011/019563, WO 2010/042390, WO 2010/144784, WO 2011/019563, WO 2012/082393, WO 2006/049783, WO 2009/114661, US 2008/0125553, EP0792318A1 and EP 2239283B1. However, such polymers do not provide an optimized balance of high melt strength and improved film mechanical properties, for blown film applications. Thus, as discussed above, there remains a need for new ethylene-based polymer compositions that have an optimized balance of melt strength, optics, processability and output, and good shrinkage. These needs and others have been met by the following invention.

SUMMARY OF INVENTION

The invention provides a composition comprising the following:

-   A) a first ethylene-based polymer, formed by a high pressure,     free-radical polymerization process, and comprising the following     properties:     -   a) a Mw(abs)/Mw(GPC)<2.2; and     -   b) a MS versus I2 relationship: MS≥C×[(I2)^(D)], where C=13.5         cN/(dg/min)^(D), and D=−0.55,     -   c) a melt index (I2) from 0.1 to 0.9 g/10 min; and -   B) a second ethylene-based polymer; and     -   wherein the second ethylene-based polymer has a melt index (I2)         from 0.1 to 4.0 g/10 min.

BRIEF DESCRIPTION OF THE DRAWINGS

FIGS. 1A and 1B are schematics of a polymerization flow schemes. FIG. 1A represents a general flow scheme. FIG. 1B provides more detail of the discharge of the primary compressor system.

FIG. 2 depicts the maximum output on the blown film line described herein versus the % LDPE in LLDPE1 used in the film.

FIG. 3 depicts the MD shrink tension measured on a film made at standard rate versus the % LDPE in LLDPE1 used in the film.

FIG. 4 depicts the melt strength measured on blends versus the % LDPE in LLDPE1.

DETAILED DESCRIPTION

As discussed above, the invention provides a composition comprising the following:

-   A) a first ethylene-based polymer, formed by a high pressure,     free-radical polymerization process, and comprising the following     properties:     -   a) a Mw(abs)/Mw(GPC)<2.2; and     -   b) a MS versus I2 relationship: MS≤C×[(I2)^(D)], where C=13.5         cN/(dg/min)^(D), and D=−0.55,     -   c) a melt index (I2) from 0.1 to 0.9 g/10 min; and -   B) a second ethylene-based polymer; and     -   wherein the second ethylene-based polymer has a melt index (I2)         from 0.1 to 4.0 g/10 min.

The composition may comprise a combination of two or more embodiments described herein.

In feature a) above, the Mw(abs) and Mw(GPC) are each determined by GPC Method A as described herein.

In feature b) above, the Melt Strength (MS) is determined at 190° C.; see test method described herein.

In one embodiment, the composition has a density from 0.910 to 0.925 g/cc, further from 0.915 to 0.922 g/cc.

In one embodiment, the composition has a melt index (I2) from 0.1 to 1.5 g/10 min, further from 0.2 to 1.0 g/10 min, and further from 0.3 to 0.9 g/10 min.

In one embodiment, the composition has a Melt Strength (190° C.) from 5 to 40 cN, further from 10 to 40 cN, further from 20 to 40 cN, further from 15 to 40 cN.

In one embodiment, when an inventive composition is formed into a film, via a blown film process, the maximum output rate is at least 15 percent greater than the maximum output rate of a similar film formed from a similar composition, except the composition contains 100 weight percent of the second ethylene-based polymer, based on the sum weight of the first ethylene-based polymer and the second ethylene-based polymer.

In one embodiment, the second ethylene-based polymer has a melt index (I2) from 0.2 to 3.5 g/10 min, further from 0.3 to 3.0 g/10 min, further from 0.4 to 2.5 g/10 min.

In one embodiment, the second ethylene-based has a density from 0.870 to 0.969 g/cc, further from 0.890 to 0.950 g/cc, further from 0.910 to 0.940 g/cc, further from 0.915 to 0.930 g/cc.

In one embodiment, the second ethylene-based polymer is present in an amount from 5 to 95 weight percent, further from 10 to 95 weight percent, further from 20 to 95 weight percent, further from 30 to 95 weight percent, based on weight of the composition.

In one embodiment, the second ethylene-based polymer is present in an amount from 40 to 95 weight percent, further from 50 to 95 weight percent, further from 60 to 95 weight percent, further from 70 to 95 weight percent, based on weight of the composition.

In one embodiment, the second ethylene-based polymer is an ethylene/α-olefin interpolymer, and further a copolymer. In a further embodiment, the ethylene/α-olefin interpolymer is a heterogeneously branched ethylene/α-olefin interpolymer, and further a copolymer. Suitable alpha-olefins include, but are not limited to, propylene, butene-1, pentene-1,4-methylpentene-1, pentene-1, hexene-1 and octene-1, and preferably propylene, butene-1, hexene-1 and octene-1.

In one embodiment, the second ethylene-based polymer is selected from an ethylene/alpha-olefin copolymer, a low density polyethylene (LDPE), a high density polyethylene (HDPE), or a combination thereof.

The second ethylene-based polymer may comprise a combination of two or more embodiments as described herein.

In one embodiment, the first ethylene-based polymer is present in an amount from “greater than zero” to 30 weight percent, further from 1 to 25 weight percent, further from 2 to 20 weight percent, based on the sum of the weight of first ethylene-based polymer and the second ethylene-based polymer.

In one embodiment, the first ethylene-based polymer is present in an amount greater than, or equal to, 20 weight percent, further greater than, or equal to, 50 weight percent, based on the sum of the weight of first ethylene-based polymer and the second ethylene-based polymer.

In one embodiment, the first ethylene-based polymer is present in an amount from 1 to 95 weight percent, further from 5 to 95 weight percent, further from 10 to 90 weight percent, based on the sum of the weight of first ethylene-based polymer and the second ethylene-based polymer.

In one embodiment, the first ethylene-based polymer has a melt index (I2) from 0.2 g/10 min to 0.9 g/10 min, further from 0.3 g/10 min to 0.9 g/10 min (ASTM 2.16 kg/190° C.).

In one embodiment, the first ethylene-based polymer has b) a Mw(abs) versus I2 relationship: Mw(abs)<A×[(I2)^(B)], where A=5.00×10² (kg/mole)/(dg/min)^(B), and B=−0.40 (Mw(abs) by GPC method A).

In one embodiment, the first ethylene-based polymer has b) a Mw(abs) versus I2 relationship: Mw(abs)<A×[(I2)^(B)], where A=4.25×10² (kg/mole)/(dg/min)^(B), and B=−0.40 (Mw(abs) by GPC method A).

In one embodiment, the first ethylene-based polymer has a c) a MS versus I2 relationship: MS≥C×[(I2)^(D)], where C=14.5 cN/(dg/min)^(D), and D=−0.55 (Melt Strength=MS, 190° C.).

In one embodiment, the first ethylene-based polymer has a c) a MS versus I2 relationship: MS≥C×[(I2)^(D)], where C=15.5 cN/(dg/min)^(D), and D=−0.55 (Melt Strength=MS, 190° C.).

In one embodiment, the first ethylene-based polymer has a melt strength greater than, or equal to, 9.0 cN, at 190° C., further greater than, or equal to, 12.0 cN, at 190° C., further greater than, or equal to, 15.0 cN, at 190° C.

In one embodiment, the first ethylene-based polymer has a Melt Strength (190° C.) from 10 to 40 cN, further from 15 to 30 cN.

In one embodiment, the first ethylene-based polymer has a “weight fraction (w) of molecular weight greater than 10⁶ g/mole, based on the total weight of polymer, as determined by GPC(abs), that meets the following relationship: w<E×[(I2)^(F)], where E=0.110 (dg/min)^(−F), and F=−0.38 (GPC Method A).

In one embodiment, the first ethylene-based polymer is polymerized in at least one tubular reactor. In a further embodiment, the first ethylene-based polymer is polymerized in a tubular reactor system that does not comprise an autoclave reactor.

In one embodiment, the first ethylene-based polymer is selected from a polyethylene homopolymer or an ethylene-based interpolymer.

In one embodiment, in the first ethylene-based polymer is selected from a polyethylene homopolymer or an ethylene-based copolymer; and wherein the comonomer of the ethylene-based copolymer is selected from a vinyl acetate, an alkyl acrylate, carbon monoxide, an acrylic acid, a carboxylic acid-containing comonomer, an ionomer, a mono olefin, or selected from a vinyl acetate, an alkyl acrylate, acrylic acid, or a mono olefin. In a further embodiment, the comonomer is present in an amount from 0.5 to 30 wt % comonomer, based on weight of copolymer.

In one embodiment, the first ethylene-based polymer is a LDPE.

In one embodiment, the first ethylene-based polymer has a density from 0.910 to 0.940 g/cc (1 cc=1 cm³).

In one embodiment, the first ethylene-based polymer has a density greater than, or equal to, 0.912 g/cc, or greater than, or equal to, 0.915 g/cc, or greater than, or equal to, 0.916 g/cc.

In one embodiment, the first ethylene-based polymer has a density less than, or equal to, 0.935 g/cc, or less than, or equal to, 0.930 g/cc, or less than, or equal to, 0.925 g/cc, or less than, or equal to, 0.920 g/cc.

The first ethylene-based polymer may comprise a combination of two or more embodiments as described herein.

An inventive composition may comprise a combination of two or more embodiments as described herein.

The invention also provides an article comprising at least one component formed from an inventive composition.

In one embodiment, the article is selected from coatings, films, foams, laminates, fibers, or tapes. In another embodiment, the article is a film.

The invention also provides a film comprising at least one layer formed from an inventive composition.

In one embodiment, the film comprises at least two layers.

In one embodiment, the film has a MD shrink tension greater than 3.00 psi.

An inventive article may comprise a combination of two or more embodiments as described herein.

An inventive film may comprise a combination of two or more embodiments as described herein

Polymerizations

For a high pressure, free radical initiated polymerization process, two basic types of reactors are known. The first type is an agitated autoclave vessel having one or more reaction zones (the autoclave reactor). The second type is a jacketed tube which has one or more reaction zones (the tubular reactor). The pressure in each autoclave and tubular reactor zone of the process is typically from 100 to 400, more typically from 120 to 360, and even more typically from 150 to 320 MPa. The polymerization temperature in each tubular reactor zone of the process is typically from 100 to 400° C., more typically from 130 to 360° C., and even more typically from 140 to 330° C.

The polymerization temperature in each autoclave reactor zone of the process is typically from 150 to 300° C., more typically from 165 to 290° C., and even more typically from 180 to 280° C.

The high pressure process of the present invention to produce polyethylene homo or interpolymers, having the advantageous properties, as found in accordance with the invention, is preferably carried out in a tubular reactor having at least three reaction zones.

The first ethylene-based polymers with broad MWD are typically made at polymerization conditions comprising one or more of the following process elements:

-   -   Reduced operating pressure (versus maximum operating pressure of         reactor system).     -   Elevated polymerization temperatures: one or more autoclave zone         and/or one or more tubular reactor zone are operated at a         control or maximum peak temperature exceeding respectively 240         and 290° C.     -   Minimal three reaction zones of autoclave and/or tubular nature.     -   Selection of type and/or distribution of CTA over the reaction         zones to ensure broad MWD product.     -   Optional use of a bifunctional coupling and/or branching agent.         Initiators

The first ethylene-based polymer is formed by a free radical polymerization process. The type of free radical initiator to be used in the present process is not critical, but preferably one of the initiators applied should allow high temperature operation in the range from 300° C. to 350° C. Free radical initiators that are generally used include organic peroxides, such as peresters, perketals, peroxy ketones, percarbonates, and cyclic multifunctional peroxides. These organic peroxy initiators are used in conventional amounts, typically from 0.005 to 0.2 wt % based on the weight of polymerizable monomers. Other suitable initiators include azodicarboxylic esters, azodicarboxylic dinitriles and 1,1,2,2-tetramethylethane derivatives, and other components capable of forming free radicals in the desired operating temperature range. Peroxides are typically injected as diluted solutions in a suitable solvent, for example, in a hydrocarbon solvent.

In one embodiment, an initiator is added to at least one reaction zone of the polymerization, and wherein the initiator has a “half-life temperature at one second” greater than 255° C., preferably greater than 260° C. In a further embodiment, such initiators are used at a peak polymerization temperature from 320° C. to 350° C. In a further embodiment, the initiator comprises at least one peroxide group incorporated in a ring structure.

Examples of such initiators include, but are not limited to, TRIGONOX 301 (3,6,9-triethyl-3,6,9-trimethyl-1,4,7-triperoxonaan) and TRIGONOX 311 (3,3,5,7,7-pentamethyl-1,2,4-trioxepane), both available from Akzo Nobel, and HMCH-4-AL (3,3,6,6,9,9-hexamethyl-1,2,4,5-tetroxonane) available from United Initiators. See also International Publication Nos. WO 02/14379 and WO 01/68723.

Chain Transfer Agents (CTA)

Chain transfer agents or telogens are used to control the melt index in a polymerization process. Chain transfer involves the termination of growing polymer chains, thus limiting the ultimate molecular weight of the polymer material. Chain transfer agents are typically hydrogen atom donors that will react with a growing polymer chain and stop the polymerization reaction of the chain. These agents can be of many different types, from saturated hydrocarbons or unsaturated hydrocarbons to aldehydes, ketones or alcohols. By controlling the concentration of the selected chain transfer agent, one can control the length of polymer chains, and, hence the molecular weight, for example, the number average molecular weight, Mn. The melt flow index (MFI or I₂) of a polymer, which is related to Mn, is controlled in the same way.

The chain transfer agents used in the process of this invention include, but are not limited to, aliphatic and olefinic hydrocarbons, such as pentane, hexane, cyclohexane, propene, pentene or hexane; ketones such as acetone, diethyl ketone or diamyl ketone; aldehydes such as formaldehyde or acetaldehyde; and saturated aliphatic aldehyde alcohols such as methanol, ethanol, propanol or butanol. The chain transfer agent may also be a monomeric chain transfer agent. For example, see WO 2012/057975, U.S. 61/579,067, and U.S. 61/664,956.

Differentiated CTA concentrations in the reaction zones can be used to achieve and to control the desired molecular weight distribution. Means to differentiate the CTA concentration in reaction zones include among others methods described in WO2013/059042, WO2011/075465 and WO2012/044504.

A further way to influence the melt index includes the build up and control, in the ethylene recycle streams, of incoming ethylene impurities, like methane and ethane, peroxide dissociation products, like tert-butanol, acetone, etc., and or solvent components used to dilute the initiators. These ethylene impurities, peroxide dissociation products, and/or dilution solvent components can act as chain transfer agents.

Monomer and Comonomers

The term ethylene interpolymer as used in the present description and the claims refer to polymers of ethylene and one or more comonomers. Suitable comonomers to be used in the ethylene polymers of the present invention include, but are not limited to, ethylenically unsaturated monomers and especially C₃₋₂₀ alpha-olefins, carbon monoxide, vinyl acetate, alkyl acrylates, or a bifunctional or higher functional comonomer (includes monomers with two or more monomeric groups). Typically comonomers can also act as chain transfer agents to some degree. Those comonomers with high chain transfer activity are designated as monomeric CTAs.

Additives

An inventive composition may comprise one or more additives. Suitable additives include stabilizers; fillers, such as organic or inorganic particles, including clays, talc, titanium dioxide, zeolites, powdered metals, organic or inorganic fibers, including carbon fibers, silicon nitride fibers, steel wire or mesh, and nylon or polyester cording, nano-sized particles, clays, and so forth; tackifiers, oil extenders, including paraffinic or napthelenic oils. An inventive composition may comprise other polymer types.

Applications

The polymers of this invention may be employed in a variety of conventional thermoplastic fabrication processes to produce useful articles, including, but not limited to, monolayer and multilayer films; molded articles, such as blow molded, injection molded, or rotomolded articles; coatings; fibers; and woven or non-woven fabrics.

An inventive polymer may be used in a variety of films, including but not limited to, extrusion coating, food packaging, consumer, industrial, agricultural (applications or films), lamination films, fresh cut produce films, meat films, cheese films, candy films, clarity shrink films, collation shrink films, stretch films, silage films, greenhouse films, fumigation films, liner films, stretch hood, heavy duty shipping sacks, pet food, sandwich bags, sealants, and diaper backsheets.

An inventive polymer is also useful in other direct end-use applications. An inventive polymer may be used for wire and cable coating operations, in sheet extrusion for vacuum forming operations, and forming molded articles, including the use of injection molding, blow molding process, or rotomolding processes.

Other suitable applications for the inventive polymers include elastic films and fibers; soft touch goods, such as appliance handles; gaskets and profiles; auto interior parts and profiles; foam goods (both open and closed cell); impact modifiers for other thermoplastic polymers, such as high density polyethylene, or other olefin polymers; cap liners; and flooring.

DEFINITIONS

Unless stated to the contrary, implicit from the context, or customary in the art, all parts and percents are based on weight and all test methods are current as of the filing date of this disclosure.

The term “composition,” as used herein, refers to a mixture of materials which comprise the composition, as well as reaction products and decomposition products formed from the materials of the composition.

The terms “blend” or “polymer blend,” as used, mean an intimate physical mixture (that is, without reaction) of two or more polymers. A blend may or may not be miscible (not phase separated at molecular level). A blend may or may not be phase separated. A blend may or may not contain one or more domain configurations, as determined from transmission electron spectroscopy, light scattering, x-ray scattering, and other methods known in the art. The blend may be effected by physically mixing the two or more polymers on the macro level (for example, melt blending resins or compounding) or the micro level (for example, simultaneous forming within the same reactor, or forming one polymer in the presence of another polymer).

The term “polymer” refers to a compound prepared by polymerizing monomers, whether of the same or a different type. The generic term polymer thus embraces the term homopolymer (which refers to polymers prepared from only one type of monomer with the understanding that trace amounts of impurities can be incorporated into the polymer structure), and the term “interpolymer” as defined infra. Trace amounts of impurities may be incorporated into and/or within a polymer.

The term “interpolymer” refers to polymers prepared by the polymerization of at least two different types of monomers. The generic term interpolymer includes copolymers (which refers to polymers prepared from two different monomers), and polymers prepared from more than two different types of monomers.

The term “ethylene-based polymer” or “ethylene polymer” refers to a polymer that comprises a majority amount of polymerized ethylene based on the weight of the polymer, and, optionally, may comprise at least one comonomer.

The term “ethylene-based interpolymer” or “ethylene interpolymer” refers to an interpolymer that comprises a majority amount of polymerized ethylene based on the weight of the interpolymer, and comprises at least one comonomer.

The term “ethylene-based copolymer” or “ethylene copolymer” refers to an interpolymer that comprises a majority amount of polymerized ethylene based on the weight of the copolymer, and only one comonomer (thus, only two monomer types).

The terms “autoclave-based products” or “autoclaved-based polymers,” as used herein, refer to polymers prepared in a reactor system comprising at least one autoclave reactor.

The phrase “high pressure, free-radical polymerization process,” as used herein, refers to a free radical initiated polymerization carried out at an elevated pressure of at least 1000 bar (100 MPa).

The terms “comprising,” “including,” “having,” and their derivatives, are not intended to exclude the presence of any additional component, step or procedure, whether or not the same is specifically disclosed. In order to avoid any doubt, all compositions claimed through use of the term “comprising” may include any additional additive, adjuvant, or compound, whether polymeric or otherwise, unless stated to the contrary. In contrast, the term, “consisting essentially of” excludes from the scope of any succeeding recitation any other component, step or procedure, excepting those that are not essential to operability. The term “consisting of” excludes any component, step or procedure not specifically delineated or listed.

Test Methods

Density:

Samples for density measurement are prepared according to ASTM D 1928. Polymer samples are pressed at 190° C. and 30,000 psi (207 MPa) for three minutes, and then at 21° C. and 207 MPa for one minute. Measurements are made within one hour of sample pressing using ASTM D792, Method B.

Melt Index:

Melt index, or I2=I₂, (grams/10 minutes or dg/min) is measured in accordance with ASTM D 1238, Condition 190° C./2.16 kg. I₁₀ is measured with ASTM D 1238, Condition 190° C./10 kg.

Method A: Triple Detector Gel Permeation Chromatography (TDGPC):

High temperature 3Det-GPC analysis is performed on an ALLIANCE GPCV2000 instrument (Waters Corp.) set at 145° C. The flow rate for the GPC is 1 mL/min. The injection volume is 218.5 μL. The column set consists of four Mixed-A columns (20-μm particles; 7.5×300 mm; Polymer Laboratories Ltd).

Detection is achieved by using an IR4 detector from PolymerChAR, equipped with a CH-sensor; a Wyatt Technology Dawn DSP MALS detector (Wyatt Technology Corp., Santa Barbara, Calif., USA), equipped with a 30-mW argon-ion laser operating at λ=488 nm; and a Waters three-capillary viscosity detector. The MALS detector is calibrated by measuring the scattering intensity of the TCB solvent. Normalization of the photodiodes is done by injecting SRM 1483, a high density polyethylene with weight-average molecular weight (Mw) of 32,100 g/mol and polydispersity (MWD) of 1.11. A specific refractive index increment (dn/dc) of −0.104 mL/mg, for polyethylene in TCB, is used.

The conventional GPC calibration is done with 20 narrow PS standards (Polymer Laboratories Ltd.) with molecular weights in the range 580-7,500,000 g/mol. The polystyrene standard peak molecular weights are converted to polyethylene molecular weights using the following equation: M _(polyethylene) =A×(M _(polystyrene))^(B), with A=0.39, B=1. The value of A is determined by using a linear high density polyethylene homopolymer (HDPE) with Mw of 115,000 g/mol. The HDPE reference material is also used to calibrate the IR detector and viscometer by assuming 100% mass recovery and an intrinsic viscosity of 1.873 dL/g.

The column calibration curve was obtained by fitting a first order polynomial to the respective polyethylene-equivalent calibration points obtained from the above Equation to the observed elution volumes.

Number, weight, and z-average molecular weights (GPC) were calculated according to the following equations:

${\overset{\_}{Mn} = {{\frac{\sum\limits^{i}{Wf}_{i}}{\sum\limits^{i}\left( {{Wf}_{i}/M_{i}} \right)}\mspace{14mu}\overset{\_}{Mw}} = {{\frac{\sum\limits^{i}\left( {{Wf}_{i}*M_{i}} \right)}{\sum\limits^{i}{Wf}_{i}}\mspace{14mu}\overset{\_}{Mz}} = \frac{\sum\limits^{i}\left( {{Wf}_{i}*M_{i}^{2}} \right)}{\sum\limits^{i}\left( {{Wf}_{i}*M_{i}} \right)}}}},$ where, Wf_(i) is the weight fraction of the i-th component and M_(i) is the molecular weight of the i-th component. The molecular weight distribution (MWD) was expressed as the ratio of the weight average molecular weight (Mw) to the number average molecular weight (Mn).

Distilled “Baker Analyzed” grade 1,2,4-trichlorobenzene (J. T. Baker, Deventer, The Netherlands), containing 200 ppm of 2,6-di-tert-butyl-4-methylphenol (Merck, Hohenbrunn, Germany), is used as the solvent for sample preparation, as well as for the 3Det-GPC experiment. HDPE SRM 1483 is obtained from the U.S. National Institute of Standards and Technology (Gaithersburg, Md., USA).

LDPE solutions are prepared by dissolving the samples under gentle stirring for three hours at 160° C. The PS standards are dissolved under the same conditions for 30 minutes. The sample concentration for the 3Det-GPC experiment is 1.5 mg/mL, and the polystyrene concentrations are 0.2 mg/mL.

A MALS detector measures the scattered signal from polymers or particles in a sample under different scattering angles 9. The basic light scattering equation (from M. Anderson, B. Wittgren, K.-G. Wahlund, Anal. Chem. 75, 4279 (2003)) can be written as follows:

${\sqrt{\frac{Kc}{R_{\theta}}} = \sqrt{\frac{1}{M} + {\frac{16\pi^{2}}{3\lambda^{2}}\frac{1}{M}{Rg}^{2}{\sin^{2}\left( \frac{\theta}{2} \right)}}}},$ where R_(θ) is the excess Rayleigh ratio, K is an optical constant, which is, among other things, dependent on the specific refractive index increment (dn/dc), c is the concentration of the solute, M is the molecular weight, R_(g) is the radius of gyration, and λ is the wavelength of the incident light. Calculation of the molecular weight and radius of gyration from the light scattering data require extrapolation to zero angle (see also P. J. Wyatt, Anal. Chim. Acta 272, 1 (1993)). This is done by plotting (Kc/Re)^(1/2) as a function of sin²(θ/2) in the so-called Debye plot. The molecular weight can be calculated from the intercept with the ordinate, and the radius of gyration from the initial slope of the curve. The second virial coefficient is assumed to be negligible. The intrinsic viscosity numbers are calculated from both the viscosity and concentration detector signals by taking the ratio of the specific viscosity and the concentration at each elution slice.

ASTRA 4.72 (Wyatt Technology Corp.) software is used to collect the signals from the IR detector, the viscometer, and the MALS detector, and to run the calculations.

The calculated molecular weights, e.g. Mw(abs), and molecular weight distributions (e.g., Mw(abs)/Mn(abs)) are obtained using a light scattering constant derived from one or more of the polyethylene standards mentioned and a refractive index concentration coefficient, dn/dc, of 0.104. Generally, the mass detector response and the light scattering constant should be determined from a linear standard with a molecular weight in excess of about 50,000 Daltons. The viscometer calibration can be accomplished using the methods described by the manufacturer, or alternatively, by using the published values of suitable linear standards such as Standard Reference Materials (SRM) 1475a, 1482a, 1483, or 1484a. The chromatographic concentrations are assumed low enough to eliminate addressing 2^(nd) virial coefficient effects (concentration effects on molecular weight).

The obtained MWD(abs) curve from TD-GPC is summarized with three characteristic parameters: Mw(abs), Mn(abs), and w, where w is defined as “weight fraction of molecular weight greater than 10⁶ g/mole, based on the total weight of polymer, and as determined by GPC(abs).”

In equation form, the parameters are determined as follows. Numerical integration from the table of “log M” and “dw/d log M” is typically done with the trapezoidal rule:

${{{Mw}({abs})} = {\int_{- \infty}^{\infty}{M\frac{dw}{d\;\log\; M}d\;\log\; M}}},{{{Mn}({abs})} = \frac{1}{\int_{- \infty}^{\infty}{\frac{1}{M}\frac{dw}{d\;\log\; M}d\;\log\; M}}},{and}$ $w = {\int_{6}^{\infty}{\frac{dw}{d\;\log\; M}d\;\log\;{M.}}}$

Method B: Triple Detector Gel Permeation Chromatography (TDGPC)—Conventional GPC Data

A Triple Detector Gel Permeation Chromatography (3D-GPC or TDGPC) system consisting of a Polymer Laboratories (now Agilent) high temperature chromatograph Model 220, equipped with a 2-angle laser light scattering (LS) detector Model 2040 (Precision Detectors, now Agilent), an IR-4 infra-red detector from Polymer Char (Valencia, Spain), and a 4-capillary solution viscometer (DP) (Viscotek, now Malvern) was used. Data collection was performed using Polymer Char DM 100 data acquisition box and related software (Valencia, Spain). The system was also equipped with an on-line solvent degassing device from Polymer Laboratories (now Agilent).

High temperature GPC columns consisting of four 30 cm, 20 um mixed A LS columns from Polymer Laboratories (now Agilent) were used. The sample carousel compartment was operated at 140° C., and the column compartment was operated at 150° C. The samples were prepared at a concentration of 0.1 grams of polymer in 50 milliliters of solvent. The chromatographic solvent and the sample preparation solvent was 1,2,4-trichlorobenzene (TCB) containing 200 ppm of 2,6-di-tert-butyl-4methylphenol (BHT). The solvent was sparged with nitrogen. The polymer samples were gently stirred at 160° C. for four hours. The injection volume was 200 microliters. The flow rate through the GPC was set at 1.0 ml/minute.

Column calibration and sample molecular weight calculations were performed using Polymer Char “GPC One” software. Calibration of the GPC columns was performed with 21 narrow molecular weight distribution polystyrene standards. The molecular weights of the polystyrene standards ranged from 580 to 8,400,000 g/mol, and were arranged in 6 “cocktail” mixtures, with at least a decade of separation between the individual molecular weights.

The peak molecular weights of polystyrene standards were converted to polyethylene molecular weights using the following equation (as described in Williams and Ward, J. Polym. Sci., Polym. Let., 6, 621 (1968)): M _(polyethylene) =A(M _(polystyrene))^(B), here B has a value of 1.0, and the experimentally determined value of A is around 0.38 to 0.44.

The column calibration curve was obtained by fitting a first order polynomial to the respective polyethylene-equivalent calibration points obtained from the above Equation to the observed elution volumes.

Number, weight, and z-average molecular weights were calculated according to the following equations:

$\overset{\_}{Mn} = {{\frac{\sum\limits^{i}{Wf}_{i}}{\sum\limits^{i}\left( {{Wf}_{i}/M_{i}} \right)}\mspace{14mu}\overset{\_}{Mw}} = {{\frac{\sum\limits^{i}\left( {{Wf}_{i}*M_{i}} \right)}{\sum\limits^{i}{Wf}_{i}}\mspace{14mu}\overset{\_}{Mz}} = \frac{\sum\limits^{i}\left( {{Wf}_{i}*M_{i}^{2}} \right)}{\sum\limits^{i}\left( {{Wf}_{i}*M_{i}} \right)}}}$ Where, Wf_(i) is the weight fraction of the i-th component and M_(i) is the molecular weight of the i-th component. The molecular weight distribution (MWD) was expressed as the ratio of the weight average molecular weight (Mw) to the number average molecular weight (Mn).

The A value was determined by adjusting the A value in the Williams and Ward Equation until Mw, the weight average molecular weight calculated using the above Equation, and the corresponding retention volume polynomial agreed with the independently determined value of Mw obtained in accordance with the linear homopolymer reference with known weight average molecular weight of 115,000 g/mol.

Melt Strength

Melt strength measurements are conducted on a Gottfert Rheotens 71.97 (Göettfert Inc.; Rock Hill, S.C.) attached to a Gottfert Rheotester 2000 capillary rheometer. A polymer melt is extruded through a capillary die with a flat entrance angle (180 degrees) with a capillary diameter of 2.0 mm and an aspect ratio (capillary length/capillary diameter) of 15.

After equilibrating the samples at 190° C. for 10 minutes, the piston is run at a constant piston speed of 0.265 mm/second. The standard test temperature is 190° C. The sample is drawn uniaxially to a set of accelerating nips located 100 mm below the die with an acceleration of 2.4 mm/second². The tensile force is recorded as a function of the take-up speed of the nip rolls. Melt strength is reported as the plateau force (cN) before the strand broke. The following conditions are used in the melt strength measurements: plunger speed=0.265 mm/second; wheel acceleration=2.4 mm/s²; capillary diameter=2.0 mm; capillary length=30 mm; and barrel diameter=12 mm.

Nuclear Magnetic Resonance (¹³C NMR)

Samples were prepared by adding approximately “3 g of a 50/50 mixture of tetrachloroethane-d2/orthodichlorobenzene, containing 0.025 M Cr(AcAc)₃,” to a “0.25 to 0.40 g polymer sample,” in a 10 mm NMR tube. Oxygen was removed from the sample by placing the open tubes in a nitrogen environment for at least 45 minutes. The samples were then dissolved and homogenized by heating the tube, and its contents to 150° C., using a heating block and heat gun. Each dissolved sample was visually inspected to ensure homogeneity. Samples were thoroughly mixed, immediately prior to analysis, and were not allowed to cool before insertion into the heated NMR sample holders.

All data were collected using a Bruker 400 MHz spectrometer. The data was acquired using a six second pulse repetition delay, 90-degree flip angles, and inverse gated decoupling, with a sample temperature of 125° C. All measurements were made on non-spinning samples in locked mode. Samples were allowed to thermally equilibrate for seven minutes prior to data acquisition. The ¹³C NMR chemical shifts were internally referenced to the EEE triad at 30.0 ppm. The C6+ value was a direct measure of C6+ branches in LDPE, where the long branches were not distinguished from chain ends. The 32.2 ppm peak, representing the third carbon from the end of all chains or branches of six or more carbons, was used to determine C6+ value.

Nuclear Magnetic Resonance (¹H NMR)

Sample Preparation

The samples were prepared by adding approximately 130 mg of sample to “3.25 g of 50/50, by weight, tetrachlorethane-d2/perchloroethylene” with 0.001 M Cr(AcAc)₃ in a NORELL 1001-7, 10 mm NMR tube. The samples were purged by bubbling N2 through the solvent, via a pipette inserted into the tube, for approximately five minutes, to prevent oxidation. Each tube was capped, sealed with TEFLON tape, and then soaked at room temperature, overnight, to facilitate sample dissolution. The samples were kept in a N2 purge box, during storage, before, and after preparation, to minimize exposure to 02. The samples were heated and vortexed at 115° C. to ensure homogeneity.

Data Acquisition Parameters

The 1H NMR was performed on a Bruker AVANCE 400 MHz spectrometer, equipped with a Bruker Dual DUL high-temperature CryoProbe, and a sample temperature of 120° C. Two experiments were run to obtain spectra, a control spectrum to quantitate the total polymer protons, and a double presaturation experiment, which suppressed the intense polymer backbone peaks, and enabled high sensitivity spectra for quantitation of the end-groups. The control was run with ZG pulse, 4 scans, SWH 10,000 Hz, AQ 1.64 s, D1 14 s. The double presaturation experiment was run with a modified pulse sequence, TD 32768, 100 scans, DS 4, SWH 10,000 Hz, AQ 1.64 s, D1 1 s, D13 13 s.

Data Analysis—1H NMR Calculations

The signal from residual 1H in TCE-d2 (at 6.0 ppm) was integrated, and set to a value of 100, and the integral from 3 to −0.5 ppm was used as the signal from the whole polymer in the control experiment. For the presaturation experiment, the TCE signal was also set to 100, and the corresponding integrals for unsaturation (vinylene at about 5.40 to 5.60 ppm, trisubstituted at about 5.16 to 5.35 ppm, vinyl at about 4.95 to 5.15 ppm, and vinylidene at about 4.70 to 4.90 ppm) were obtained.

In the presaturation experiment spectrum, the regions for cis- and trans-vinylene, trisubstituted, vinyl, and vinylidene were integrated. The integral of the whole polymer from the control experiment was divided by two to obtain a value representing X thousands of carbons (i.e., if the polymer integral=28000, this represents 14,000 carbons, and X=14).

The unsaturated group integrals, divided by the corresponding number of protons contributing to that integral, represent the moles of each type of unsaturation per X thousand carbons. Dividing the moles of each type of unsaturation by X, then gives moles unsaturated groups per 1000 moles of carbons.

Film Testing

The following physical properties were measured on the films as described in the experimental section. Film thickness was measured using a Measuretech instrument.

Total (Overall) Haze and Internal Haze: Internal haze and total haze were measured according to ASTM D 1003-07. Internal haze was obtained via refractive index matching using mineral oil (1-2 teaspoons), which was applied as a coating on each surface of the film. A Hazegard Plus (BYK-Gardner USA; Columbia, Md.) was used for testing. For each test, five samples were examined, and an average reported. Sample dimensions were “6 in×6 in.”

45° Gloss: ASTM D2457-08 (average of five film samples; each sample “10 in×10 in”).

Clarity: ASTM D1746-09 (average of five film samples; each sample “10 in×10 in”).

2% Secant Modulus-MD (machine direction) and CD (cross direction): ASTM D882-10 (average of five film samples in each direction; each sample “1 in×6 in”).

MD and CD Elmendorf Tear Strength: ASTM D1922-09 (average of 15 film samples in each direction; each sample “3 in×2.5 in” half moon shape).

MD and CD Tensile Strength: ASTM D882-10 (average of five film samples in each direction; each sample “1 in×6 in”).

Dart Impact Strength: ASTM D1709-09 (minimum of 20 drops to achieve a 50% failure; typically ten “10 in×36 in” strips).

Puncture Strength: Puncture was measured on an INSTRON Model 4201 with SINTECH TESTWORKS SOFTWARE Version 3.10. The specimen size was “6 in×6 in,” and four measurements were made to determine an average puncture value. The film was conditioned for 40 hours after film production, and at least 24 hours in an ASTM controlled laboratory (23° C. and 50% relative humidity). A “100 lb” load cell was used with a round specimen holder of 4 inch diameter. The puncture probe is a “½ inch diameter” polished stainless steel ball (on a 2.5″ rod) with a “7.5 inch maximum travel length.”

There was no gauge length, and the probe was as close as possible to, but not touching, the specimen. The probe was set by raising the probe until it touched the specimen. Then the probe was gradually lowered, until it was not touching the specimen. Then the crosshead was set at zero. Considering the maximum travel distance, the distance would be approximately 0.10 inch. The crosshead speed was 10 inches/minute. The thickness was measured in the middle of the specimen. The thickness of the film, the distance the crosshead traveled, and the peak load were used to determine the puncture by the software. The puncture probe was cleaned using a “KIM-WIPE” after each specimen.

Shrink Tension: Shrink tension was measured according to the method described in Y. Jin, T. Hermel-Davidock, T. Karjala, M. Demirors, J. Wang, E. Leyva, and D. Allen, “Shrink Force Measurement of Low Shrink Force Films”, SPE ANTEC Proceedings, p. 1264 (2008). The shrink tension of film samples was measured through a temperature ramp test that was conducted on an RSA-III Dynamic Mechanical Analyzer (TA Instruments; New Castle, Del.) with a film fixture. Film specimens of “12.7 mm wide” and “63.5 mm long” were die cut from the film sample, either in the machine direction (MD) or the cross direction (CD), for testing. The film thickness was measured by a Mitutoyo Absolute digimatic indicator (Model C112CEXB). This indicator had a maximum measurement range of 12.7 mm, with a resolution of 0.001 mm. The average of three thickness measurements, at different locations on each film specimen, and the width of the specimen, were used to calculate the film's cross sectional area (A), in which “A=Width×Thickness” of the film specimen that was used in shrink film testing. A standard film tension fixture from TA Instruments was used for the measurement. The oven of the RSA-III was equilibrated at 25° C., for at least 30 minutes, prior to zeroing the gap and the axial force. The initial gap was set to 20 mm.

The film specimen was then attached onto both the upper and the lower fixtures. Typically, measurements for MD only require one ply film. Because the shrink tension in the CD direction is typically low, two or four plies of films are stacked together for each measurement to improve the signal-to-noise ratio. In such a case, the film thickness is the sum of all of the plies. In this work, a single ply was used in the MD direction and two plies were used in the CD direction. After the film reached the initial temperature of 25° C., the upper fixture was manually raised or lowered slightly to obtain an axial force of −1.0 g. This was to ensure that no buckling or excessive stretching of the film occurred at the beginning of the test. Then the test was started. A constant fixture gap was maintained during the entire measurement.

The temperature ramp started at a rate of 90° C./min, from 25° C. to 80° C., followed by a rate of 20° C./min, from 80° C. to 160° C. During the ramp from 80° C. to 160° C., as the film shrunk, the shrink force, measured by the force transducer, was recorded as a function of temperature for further analysis. The difference between the “peak force” and the “baseline value before the onset of the shrink force peak” is considered the shrink force (F) of the film. The shrink tension of the film is the ratio of the shrink force (F) to the initial cross sectional area (A) of the film.

For the MD Shrink Tension, three film samples were tested, and an average reported.

For the CD Shrink Tension, three film samples were tested, and an average reported.

EXPERIMENTAL

First Ethylene-Based Polymer

IE1: The polymerization was carried out in tubular reactor with three reaction zones. In each reaction zone, pressurized water was used for cooling and/or heating the reaction medium, by circulating this water through the jacket of the reactor. The inlet-pressure was 2100 bar, and the pressure drop over the whole tubular reactor system was about 300 bars. Each reaction zone had one inlet and one outlet. Each inlet stream consisted of the outlet stream from the previous reaction zone and/or an added ethylene-rich feed stream. The ethylene was supplied according to a specification, which allowed a trace amount (maximum of 5 mol ppm) of acetylene in the ethylene. The non-converted ethylene, and other gaseous components in the reactor outlet, were recycled through a high pressure and a low pressure recycle system, and were compressed and distributed through a booster, a primary compressor system and a hyper (secondary) compressor system, according to the flow scheme shown in FIG. 1B. As seen in FIG. 1B, both discharge streams (2 and 3) of the primary compressor were sent to the reactor front feed stream 5.

Organic peroxides were fed into each reaction zone (see Table 1). Propionaldehyde was used as a chain transfer agent, and it was present in each reaction zone inlet originating from the low pressure and high pressure recycle flows (13 and 15), as well as from freshly injected CTA make-up stream 7 and/or stream 6. The polymer was made at a melt index of 0.58 g/10 min.

After reaching the first peak temperature (maximum temperature) in reaction zone 1, the reaction medium was cooled with the help of the pressurized water. At the outlet of the reaction zone 1, the reaction medium was further cooled by injecting a fresh, cold, ethylene-rich feed stream (20), and the reaction was re-initiated by feeding an organic peroxide. This process was repeated at the end of the second reaction zone, to enable further polymerization in the third reaction zone. The polymer was extruded and pelletized (about 30 pellets per gram), using a “single screw” extruder system at a melt temperature around 230-250° C. The weight ratio of the ethylene-rich feed streams (9:20:21) to the three reaction zones was 1.00:0.76:0.24. The R2 and R3 values each approached infinity. The R values are calculated according to International Publication WO 2013/059042 (International Patent Application PCT/US12/059469 filed Oct. 10, 2012). Rn (n=reaction zone number, n>1) is the ratio of “mass fraction of fresh ethylene fed to the first reaction zone (RZ1)” to “mass fraction of fresh ethylene fed to the nth reaction zone (RZn)” is (Rn=RZ1/RZn). The internal process velocity was approximately 12.5, 9 and 11 m/sec, respectively, for the first, second and third reaction zone. In this inventive example, the weight ratio of the CTA make-up streams 7 and 6 was 2. Additional information can be found in Tables 2 and 3.

Example IE2

The polymerization was carried out in tubular reactor with three reaction zones, as discussed above, according to Example IE1 (see FIG. 1B). The weight ratio of the ethylene-rich feed streams (9:20:21) to the three reaction zones was 1.00:0.76:0.24. The polymer was made at a melt index of 0.37 g/10 min. The R2 and R3 values each approached infinity (∞). In this inventive example, the weight ratio of the CTA make-up streams 7 and 6 was 1.35. Additional information can be found in Tables 2 and 3. The CTA was propionaldehyde (PA).

In summary, to achieve tubular resins with high melt strength suitable as blend component in extrusion coating compositions, typically together with a low or lower melt strength component, the polymerization conditions need to be selected and balanced; for example, as discussed above. Important process parameters include maximum polymerization temperatures, inlet reactor pressure, conversion level, and the type, level and distribution of the chain transfer agent.

Polymer properties (IE1, IE2 and other polymers) are shown in Tables 4 and 5.

TABLE 1 Initiators Initiator Abbreviation tert-Butyl peroxy-2-ethyl hexanoate TBPO Di-tert-butyl peroxide DTBP 3,6,9-triethyl 3,6,9-trimethyl 1,4,7-peroxonane TETMP

TABLE 2 Pressure and Temperature Conditions (First Ethylene-based Polymers) reiniti- reiniti- ation ation temp. temp. 1st 2nd 3rd Inlet- Start- 2nd 3rd Peak Peak Peak LDPE pressure/ temp./ zone/ zone/ temp./ temp./ temp./ Exs. Type bar ° C. ° C. ° C. ° C. ° C. ° C. IE1 Inv 2100 140 169 243 330 325 299 IE2 Inv 2100 140 173 243 327 323 299

TABLE 3 Additional Information (First Ethylene-based Polymers) R2 and Ethylene LDPE I2 R3 Conver- Exs. Peroxides CTA dg/min⁻¹ Value sion % IE1 TBPO/DTBP/TETMP PA 0.58 ∞ 29.3 IE2 TBPO/DTBP/TETMP PA 0.37 ∞ 27.6

TABLE 4 Polymer Properties Mw Melt Fraction with I2 Density Mw(abs) (abs)/M Strength MW above Mw(abs)/ LDPE Type* (dg/min) (g/cc) (kg/mol) ^(t) n(abs) ^(t) (cN) 1 × 10⁶ g/mol ^(t) Mw(GPC) ^(t) LDPE 662I** CE, AC 0.38 0.9182 872 46.1 30.0 0.202 3.54 LD310E** CE, tub 0.7 0.9231 144 8.3 14.0 0.018 1.51 AGILITY 1001** CE, tub 0.64 0.9206 204 15.6 11.3 0.032 1.81 LDPE 132I** CE, tub 0.25 0.9209 273 15.3 17.3 0.052 2.14 IE1 IE, tub 0.58 0.9180 287 16.6 26.8 0.066 1.92 IE2 IE, tub 0.37 0.9180 297 17.5 29.9 0.072 2.01 *CE: Comparative; IE: Inventive; AC: Autoclave-based; tub: Tubular **Commercial Polymers available from The Dow Chemical Company.

^(t) All MWD metrics in this table obtained from GPC Method A.

TABLE 5 Polymer Properties Melt Fraction with I2 Mw(abs) Strength M above A × [(I2)^(B)] C × [(I2)^(D)] LDPE (dg/min) (kg/mol)t (cN) 1.10⁶ g/mol^(t) (kg/mol)^(a) (cN)^(b) 662I 0.38 872 30.0 0.202 736 23.0 LD310E 0.7 144 14.0 0.018 577 16.4 AGILITY 1001 0.64 204 11.3 0.032 613 17.9 LDPE 132I 0.25 273 17.3 0.052 871 28.9 IE1 0.58 287 26.8 0.066 622 18.2 IE2 0.37 297 29.9 0.072 744 23.3 ^(a)Mw(abs) < A × [(I2)^(B)], where A = 5.00 × 10² (kg/mole)/(dg/min)^(B) , and B = −0.40 [Mw(abs), GPC Method A]. ^(b)MS ≥ C × [(I2)^(D)], where C = 13.5 cN/(dg/min)^(D), and D = −0.55 [Melt Strength = MS, ° C.]. ^(t)All MWD metrics in this table obtained from GPC Method A.

Table 6 contains the branches per 1000 C as measured by ¹³C NMR. These LDPE polymers contain amyl, or C5 branches, which are not contained in substantially linear polyethylenes such as AFFINITY Polyolefin Plastomers, or Ziegler-Natta catalyzed LLDPE, such as DOWLEX Polyethylene Resins, both produced by The Dow Chemical Company. Each LDPE shown in Table 6 contains greater than, or equal to, 2.0 amyl groups (branches) per 1000 carbon atoms. Table 7 contains unsaturation results by ¹H NMR.

TABLE 6 Branching Results in branches per 1000 C by ¹³C NMR of Inventive Examples and Comparative Examples. 1,3 C2 on diethyl Quat C1 branches Carbon C4 C5 C6+ IE1 ND 4.51 1.82 7.26 2.63 3.8 IE2 ND 4.55 1.83 7.30 2.16 3.5 AFFINITY PL 1880 ND ND ND ND ND 19.5* DOWLEX 2045G ND ND ND ND ND 11.4* ND = not detected. *The values in the C6+ column for the DOWLEX and AFFINITY samples represent C6 branches from octene only, and do not include chain ends.

TABLE 7 Unsaturation Results by ¹H NMR cis and vinyli- total vinyl/ trans/ trisub/ dene/ unsaturation/ 1000C 1000C 1000C 1000C 1000C IE1 0.046 0.148 0.083 0.247 0.52 IE2 0.048 0.137 0.075 0.246 0.51 AFFINITY PL 1880 0.040 0.064 0.123 0.043 0.270 DOWLEX 2045G 0.283 0.049 0.042 0.055 0.430 Formulations

Blown films were made, and physical properties measured, with different LDPEs and one LLDPE, LLDPE1 (DOWLEX 2045G). LLDPE1 had a 1.0 melt index (MI or 12), and a 0.920 g/cc density. Films were made at 5 wt %, 10 wt %, 20 wt %, 50 wt % and 80 wt % of the respective LDPE, based on the weight of the LDPE and LLDPE1.

Each formulation was compounded on a MAGUIRE gravimetric blender. A polymer processing aid (PPA), DYNAMAR FX-5920A, was added to each formulation. The PPA was added at 1 wt % of masterbatch, based on the total weight of the weight of the formulation. The PPA masterbatch (Ingenia AC-01-01, available from Ingenia Polymers) contained 8 wt % of DYNAMAR FX-5920A in a polyethylene carrier. This amounts to 800 ppm PPA in the polymer.

LLDPE1 was also used as the LLDPE in the films made at maximum output. Maximum output was determined on samples made with the following components: 95 wt % DOWLEX 2045G and 5 wt % LDPE; 90 wt % DOWLEX 2045G and 10 wt % LDPE; and 80 wt % DOWLEX 2045G and 20 wt % LDPE.

Production of Blown Films

The monolayer blown films were made on an “8 inch die” with a polyethylene “Davis Standard Barrier II screw.” External cooling by an air ring and internal bubble cooling were used. General blown film parameters, used to produce each blown film, are shown in Table 8. The temperatures are the temperatures closest to the pellet hopper (Barrel 1), and in increasing order, as the polymer was extruded through the die. The films at the standard rates were run at 250 lb/hr.

TABLE 8 Blown film fabrication conditions for films. Blow up ratio (BUR) 2.5 Nominal Film thickness 2.0 Die gap (mil) 70 Air temperature (° F.) 45 Temperature profile (° F.) Barrel 1 375 Barrel 2 420 Barrel 3 390 Barrel 4 375 Barrel 5 375 Screen Temperature 450 Adapter 450 Block 450 Lower Die 450 Inner Die 450 Upper Die 450 Production of Films for Determination of Maximum Output Rate of Blown Film

Film samples were made at a controlled rate and at a maximum rate. The controlled rate was 250 lb/hr, which equals a specific output rate of 10.0 lb/hr/inch of die circumference. The die diameter used for the maximum output trials was an 8 inch die, so that for the controlled rate, as an example, the conversion between “lb/hr” and “lb/hr/inch” of die circumference, is shown below. Similarly, such an equation can be used for other rates, such as the maximum rate, by substituting the maximum rate in the equation below to determine the “lb/hr/inch” of die circumference. Specific Output=(250 Lb/Hr)/(8 inch*π)=10 Lb/Hr/Inch of Die Circumference

The maximum output rate for a given sample was determined by increasing the output rate to the point where bubble stability was the limiting factor. The extruder profile was maintained for both samples (standard rate and maximum rate), however the melt temperature was higher for the maximum rate samples, due to the increased shear rate with higher motor speed (rpm, revolutions per minute). The bubble stability at maximum output rate was determined by taking the bubble to the point where it would not stay seated in the air ring. At that point, the rate was reduced to where the bubble was reseated (maximum output rate) in the air ring, and then a sample was collected. The cooling on the bubble was adjusted by adjusting the air ring and maintaining the bubble. This process determined the maximum output rate while maintaining bubble stability.

The film results are summarized in Tables 9-16. Table 9 shows film results at standard rate with Film #1 being 100% LLDPE1, and Films #2-6 being 95% LLDPE1/5% LDPE. Film #2, containing IE1 and Film #3 containing IE2, show advantages of good optics (low haze, and high gloss and clarity), MD tear (high), dart drop impact (high), and secant modulus (high). These properties are important for a variety of films with the desirable properties of good optics and mechanical properties. These LDPEs enable the potential for down-gauging, or lowering of the film thickness, while still retaining good mechanical properties. Table 10 shows film results at maximum rate with Film #7 being 100% LLDPE1, and Films #8-12 being 95% LLDPE1/5% LDPE. These films show advantages, as seen in Table 9 at standard rate. Additionally, compositions containing IE1 and IE2 show improvement in film output rates from 0.5-3.2% over compositions containing the other LDPEs even at this low level of 5 wt % addition. The % increase in maximum output, as shown in Table 10, was calculated as, for example for IE1: % Increase in Output Due to IE1 as Compared to Reference LDPE= (Maximum Output Blend with IE1−Maximum Output Blend with Reference LDPE)×100.

Maximum Output Blend with Reference LDPE

Table 11 contains results for 10% LDPE added to LLDPE1 for Films #13-17, and Table 12 contains results for 10% LDPE added to LLDPE1 for Films #18-22, made at maximum rate. These results show films advantages similar to those seen at 5% LDPE (good optics, MD tear, dart drop impact, and secant modulus). Additionally, the maximum rate increases over the reference LDPEs range up to 8.4%, as shown in Table 12.

Table 13 shows results for 80% LLDPE/20% LDPE at standard rates, and Table 14 shows results for 20% LDPE/80% LLDPE1 at maximum rates. These results show properties similar to the lower % LDPE blends, but additionally, at maximum rates, good shrink tension is found for the inventive compositions. The maximum output rates as compared to other LDPEs are excellent at up to a 44% improvement. Although the autoclave LDPE 662I does have good output rates, it suffers from poorer optics and puncture. These very substantial differences in output are novel for the inventive compositions, and will translate, on larger blown film lines, to likely even more differentiation and larger gains in the speed at which blown films can be produced, leading to cost savings for the producer. Additionally, key film property advantages are maintained.

Table 15 and 16 show results at 50% LDPE and 80% LDPE, respectively. Maximum output was not measured on these samples, but it is expected that the output of IE1 and IE2 would be very good and generally better than the comparative examples. Again, the optics, as compared to the autoclave LDPE 662I, are much improved, with retention of other film properties.

FIG. 2 shows the maximum output for the different LDPEs in LLDPE1, at 0%, 5%, 10%, and 20% LDPE, and the differentiation and advantage of IE1 and IE2, as compared to other LDPEs. FIG. 3 shows the MD shrink tension for films made at standard output for the different LDPEs in LLDPE1, at 0%, 5%, 10%, and 20% LDPE, and the differentiation and advantage of IE1 and IE2 as compared to other LDPEs.

TABLE 9 Film properties of 100% LLDPE1; and 95% LLDPE1/5% LDPE Films #1-6 made at 2 mil at a standard (std.) rate of 250 lb/hr (8″ die). Film 1 2 3 4 5 6 Component 1 — IE1 IE2 AGILITY LDPE LDPE (First Polymer) 1001 662I 132I Wt % Component 1 0 5 5 5 5 5 Melt Index Component 1 — 0.58 0.37 0.64 0.38 0.25 Component 2 LLDPE1 LLDPE1 LLDPE1 LLDPE1 LLDPE1 LLDPE1 (Second Polymer) Wt % Component 2 100 95 95 95 95 95 Blown Film Rate Std. Std. Std. Std. Std. Std. Haze (%) 16.8 11.1 10.6 9.8 10.4 9.4 Haze, Internal (%) 5.9 4.3 4.0 4.4 4.6 4.0 45 Degree Gloss (%) 48.8 61.3 61.6 68.2 64.1 67.4 Clarity (%) 97.3 98.0 97.2 99.0 96.1 99.0 MD Tear (g) 874 822 809 735 774 797 CD Tear (g) 934 957 1,027 975 1,008 1,023 Normalized MD Tear (g/mil) 454 422 404 379 378 392 Normalized CD Tear (g/mil) 489 484 517 504 493 500 Dart Drop Impact (g) 388 343 322 334 283 302 Puncture (ft-lbf/in³) 278 269 254 264 271 275 2% MD Secant Modulus (kpsi) 37.7 38.5 38.8 35.6 36.9 36.7 2% CD Secant Modulus (kpsi) 42.5 42.6 42.8 40.2 41.7 39.7 MD Shrink Tension (psi) 3.29 5.50 4.70 6.04 4.46 5.99 CD Shrink Tension (psi) 0.43 0.43 0.70 0.54 0.60 0.70 Thickness (mil) 1.96 2.05 2.06 1.83 1.97 2.01 Frost Line Height (inches) 40 35 35 35 35 35 Melt Temperature (° F.) 443 440 440 439 439 440 Rate Output (lb/hr) 253 251 247 251 247 250 Rate Output (lb/hr/in) 10.1 10.0 9.8 10.0 9.8 9.9 Screen Pressure (psi) 3,550 3,630 3,590 3,620 3,590 3,610

TABLE 10 Film properties of 100% LLDPE1; and 95% LLDPE1/5% LDPE Films #7-12 made at 2 mil at maximum rates (8″ die). Film 7 8 9 10 11 12 Component 1 — IE1 IE2 AGILITY LDPE LDPE (First Polymer) 1001 662I 132I Wt % Component 1 0 5 5 5 5 5 Melt Index Component 1 — 0.58 0.37 0.64 0.38 0.25 Component 2 LLDPE1 LLDPE1 LLDPE1 LLDPE1 LLDPE1 LLDPE1 (Second Polymer) Wt % Component 2 100 95 95 95 95 95 Haze (%) 29.5 17.6 14.9 13.2 15.2 14.6 Internal Haze (%) 5.7 4.6 4.8 4.8 5.9 6.0 45 Degree Gloss (%) 27.1 40.4 49.4 54.1 46.9 50.9 Clarity (%) 92.7 96.9 96.8 98.4 96.1 98.2 MD Tear (g) 975 834 711 830 891 820 CD Tear (g) 1,089 1,051 917 981 1,135 1,148 Normalized MD Tear (g/mil) 442 401 380 422 407 373 Normalized CD Tear (g/mil) 503 509 492 497 524 526 Dart Drop Impact (g) 379 352 313 334 322 319 Puncture (ft-lbf/in³) 281 274 255 286 271 257 2% MD Secant Modulus (kpsi) 37.2 39.5 39.8 33.8 34.8 39.1 2% CD Secant Modulus (kpsi) 45.0 41.8 44.8 39.3 43.5 41.6 MD Shrink Tension (psi) 1.48 3.15 5.32 4.19 4.04 3.70 CD Shrink Tension (psi) 0.29 0.49 0.50 0.42 0.43 0.44 Thickness (mil) 1.89 1.93 2.07 2.04 2.06 2.16 Frost Line Height (inches) 70 75 75 75 75 75 Melt Temperature (° F.) 451 457 458 457 457 456 Rate Output (lb/hr) 329 380 387 378 375 376 Rate Output (lb/hr/in) 13.1 15.1 15.4 15.0 14.9 15.0 % Increase of Maximum Rate 0.5 1.3 1.1 IE1 over given LDPE % Increase of Maximum Rate 2.4 3.2 2.9 IE2 over given LDPE % Increase of Maximum Rate 16 18 15 14 14 over LLDPE1 Screen Pressure (psi) 4,150 4,290 4,420 4,400 4,290 4,420

TABLE 11 Film properties of 90% LLDPE1/10% LDPE Films #13-17 made at 2 mil at a standard (std.) rate of 250 lb/hr (8″ die). Film 13 14 15 16 17 Component 1 (First Polymer) IE1 IE2 AGILITY LDPE LDPE 1001 662I 132I Wt % Component 1 10 10 10 10 10 Melt Index Component 1 0.58 0.37 0.64 0.38 0.25 Component 2 (Second Polymer) LLDPE1 LLDPE1 LLDPE1 LLDPE1 LLDPE1 Wt % Component 2 90 90 90 90 90 Blown Film Rate Std. Std. Std. Std. Std. Haze (%) 9.2 9.7 8.7 10.6 8.3 Haze, Internal (%) 3.5 3.3 4.0 4.0 3.4 45 Degree Gloss (%) 66.9 63.2 68.9 59.7 68.4 Clarity (%) 97.4 95.7 98.9 93.0 98.6 MD Tear (g) 639 575 580 542 590 CD Tear (g) 993 1,081 1,058 1,035 1,077 Normalized MD Tear (g/mil) 316 287 296 276 295 Normalized CD Tear (g/mil) 488 543 539 515 545 Dart Drop Impact (g) 337 313 301 274 250 Puncture (ft-lbf/in³) 249 267 244 261 266 2% MD Secant Modulus (kpsi) 37.7 36.7 30.2 30.1 29.2 2% CD Secant Modulus (kpsi) 42.3 41.3 33.6 36.2 34.0 MD Shrink Tension (psi) 6.08 7.42 5.66 5.91 5.42 CD Shrink Tension (psi) 0.36 0.64 0.51 0.63 0.26 Thickness (mil) 2.02 2.05 1.89 2.00 1.97 Frost Line Height (inches) 35 35 35 35 35 Melt Temperature (° F.) 440 439 441 439 440 Rate Output (lb/hr) 251 250 250 252 248 Rate Output (lb/hr/in) 10.0 9.9 9.9 10.0 9.9 Screen Pressure (psi) 3,620 3,740 3,540 3,740 3,660

TABLE 12 Film properties of 90% LLDPE1/10% LDPE Films #18-22 made at 2 mil at maximum rates (8″ die). Film 18 19 20 21 22 Component 1 (First Polymer) IE1 IE2 AGILITY LDPE LDPE 1001 662I 132I Wt % Component 1 10 10 10 10 10 Melt Index Component 1 0.58 0.37 0.64 0.38 0.25 Component 2 (Second Polymer) LLDPE1 LLDPE1 LLDPE1 LLDPE1 LLDPE1 Wt % Component 2 90 90 90 90 90 Haze (%) 13.5 12.7 10.6 13.1 12.2 Internal Haze (%) 3.8 3.9 4.7 4.4 4.0 45 Degree Gloss (%) 49.6 50.1 61.7 53.3 54.3 Clarity (%) 96.8 96.1 98.3 94.0 98.2 MD Tear (g) 720 666 628 588 673 CD Tear (g) 1,086 1,145 1,103 1,045 1,092 Normalized MD Tear (g/mil) 358 317 309 298 338 Normalized CD Tear (g/mil) 549 551 550 524 545 Dart Drop Impact (g) 304 313 274 259 277 Puncture (ft-lbf/in³) 255 235 221 245 251 2% MD Secant Modulus (kpsi) 36.9 33.0 32.2 37.7 33.0 2% CD Secant Modulus (kpsi) 45.1 38.4 35.6 31.3 38.6 MD Shrink Tension (psi) 6.03 5.73 5.72 5.02 5.25 CD Shrink Tension (psi) 0.52 0.76 0.32 0.23 0.50 Thickness (mil) 2.03 1.82 1.83 1.98 1.86 Frost Line Height (inches) 84 85 80 80 80 Melt Temperature (° F.) 458 461 459 460 461 Rate Output (lb/hr) 402 415 383 403 392 Rate Output (lb/hr/in) 16.0 16.5 15.2 16.0 15.6 % Increase of Maximum Rate IE1 5.0 −0.2 2.6 over given LDPE % Increase of Maximum Rate IE2 8.4 3.0 5.9 over given LDPE % Increase of Maximum Rate 22 26 16 22 19 over LLDPE1 Screen Pressure (psi) 4,480 4,600 4,270 4,450 4,390

TABLE 13 Film properties of 80% LLDPE1/20% LDPE Films #23-27 made at 2 mil at a standard (std.) rate of 250 lb/hr (8″ die). Film 23 24 25 26 27 Component 1 (First Polymer) IE1 IE2 AGILITY LDPE LDPE 1001 662I 132I Wt % Component 1 20 20 20 20 20 Melt Index Component 1 0.58 0.37 0.64 0.38 0.25 Component 2 (Second Polymer) LLDPE1 LLDPE1 LLDPE1 LLDPE1 LLDPE1 Wt % Component 2 80 80 80 80 80 Blown Film Rate Std. Std. Std. Std. Std. Haze (%) 9.3 12.8 7.2 15.3 8.2 Haze, Internal (%) 2.9 3.3 3.3 2.7 2.6 45 Degree Gloss (%) 61.5 48.9 72.6 44.4 65.4 Clarity (%) 92.9 85.6 98.3 82.3 96.2 MD Tear (g) 400 357 429 408 396 CD Tear (g) 1,060 1,065 1,225 1,006 1,186 Normalized MD Tear (g/mil) 200 182 216 208 201 Normalized CD Tear (g/mil) 525 540 611 509 593 Dart Drop Impact (g) 214 226 220 244 241 Puncture (ft-lbf/in³) 212 224 236 209 222 2% MD Secant Modulus (kpsi) 30.9 30.2 29.6 29.7 30.8 2% CD Secant Modulus (kpsi) 35.6 35.7 32.8 37.2 36.4 MD Shrink Tension (psi) 11.32 12.66 9.29 7.05 11.53 CD Shrink Tension (psi) 0.49 0.34 0.59 0.41 0.65 Thickness (mil) 1.99 1.95 2.08 1.96 2.02 Frost Line Height (inches) 35 35 35 35 35 Melt Temperature (° F.) 439 440 441 441 440 Rate Output (lb/hr) 252 252 251 251 250 Rate Output (lb/hr/in) 10.0 10.0 10.0 10.0 9.9 Screen Pressure (psi) 3,660 3,650 3,580 3,730 3,720

TABLE 14 Film properties of 80% LLDPE1/20% LDPE Films #28-32 made at 2 mil at maximum rates (8″ die). Film 28 29 30 31 32 Component 1 (First Polymer) IE1 IE2 AGILITY LDPE LDPE 1001 662I 132I Wt % Component 1 20 20 20 20 20 Melt Index Component 1 0.58 0.37 0.64 0.38 0.25 Component 2 (Second Polymer) LLDPE1 LLDPE1 LLDPE1 LLDPE1 LLDPE1 Wt % Component 2 80 80 80 80 80 Haze (%) 10.5 14.1 12.0 15.5 11.6 Internal Haze (%) 3.2 3.3 4.8 3.4 3.5 45 Degree Gloss (%) 56.3 44.7 54.9 40.9 55.7 Clarity (%) 93.5 88.1 98.0 83.4 96.6 MD Tear (g) 430 445 508 420 489 CD Tear (g) 1,105 1,031 991 1,015 1,185 Normalized MD Tear (g/mil) 216 228 249 218 236 Normalized CD Tear (g/mil) 555 514 492 505 576 Dart Drop Impact (g) 244 238 238 244 280 Puncture (ft-lbf/in³) 216 216 216 198 224 2% MD Secant Modulus (kpsi) 30.9 28.0 30.9 29.9 32.7 2% CD Secant Modulus (kpsi) 34.8 34.6 35.9 36.2 37.3 MD Shrink Tension (psi) 10.33 10.97 7.05 12.33 8.21 CD Shrink Tension (psi) 0.42 0.46 0.41 0.46 0.38 Thickness (mil) 2.04 2.01 2.10 1.96 2.05 Frost Line Height (inches) 85 85 85 85 85 Melt Temperature (° F.) 475 480 457 482 464 Rate Output (lb/hr) 541 581 405 577 443 Rate Output (lb/hr/in) 21.5 23.1 16.1 23.0 17.6 % Increase of Maximum Rate IE1 33.6 −0.6 22.1 over given LDPE % Increase of Maximum Rate IE2 43.5 0.3 31.2 over given LDPE % Increase of Maximum Rate 64 77 23 76 35 over LLDPE1 Screen Pressure (psi) 4,990 5,160 4,310 5,200 4,610

TABLE 15 Film properties of 50% LLDPE1/50% LDPE Films #33-37 made at 2 mil at a standard (std.) rate of 250 lb/hr (8″ die). Film 33 34 35 36 37 Component 1 (First Polymer) IE1 IE2 AGILITY LDPE LDPE 1001 662I 132I Wt % Component 1 50 50 50 50 50 Melt Index Component 1 0.58 0.37 0.64 0.38 0.25 Component 2 LLDPE1 LLDPE1 LLDPE1 LLDPE1 LLDPE1 Wt % Component 2 50 50 50 50 50 Blown Film Rate Std. Std. Std. Std. Std. Haze (%) 18.9 23.9 9.5 31.9 13.0 Haze, Internal (%) 3.1 2.1 2.3 2.0 1.7 45 Degree Gloss (%) 34.5 28.0 58.0 24.3 47.8 Clarity (%) 70.0 61.8 90.3 79.0 84.3 MD Tear (g) 159 129 188 170 146 CD Tear (g) 1,088 1,024 981 933 1,022 Normalized MD Tear (g/mil) 80 65 98 89 75 Normalized CD Tear (g/mil) 550 514 501 478 525 Dart Drop Impact (g) 181 157 169 181 190 Puncture (ft-lbf/in³) 112 113 128 128 122 2% MD Secant Modulus (kpsi) 31.5 33.9 29.6 30.4 32.7 2% CD Secant Modulus (kpsi) 37.2 39.2 35.0 36.6 37.0 MD Shrink Tension (psi) 27.42 28.64 22.40 27.69 26.08 CD Shrink Tension (psi) 0.38 0.31 0.36 0.34 0.53 Thickness (mil) 2.03 2.06 1.97 1.96 2.00 Frost Line Height (inches) 30 30 30 35 30 Melt Temperature (° F.) 442 442 440 443 444 Rate Output (lb/hr) 247 251 249 250 250 Rate Output (lb/hr/in) 9.8 10.0 9.9 9.9 9.9 Screen Pressure (psi) 3,350 3,650 3,280 3,680 3,600

TABLE 16 Film properties of 20% LLDPE1/80% LDPE Films #38-42 made at 2 mil at a standard (std.) rate of 250 lb/hr (8″ die). Film 38 39 40 41 42 Component 1 (First Polymer) IE1 IE2 AGILITY LDPE LDPE 1001 662I 132I Wt % Component 1 80 80 80 80 80 Melt Index Component 2 0.58 0.37 0.64 0.38 0.25 Component 2 (Second Polymer) LLDPE1 LLDPE1 LLDPE1 LLDPE1 LLDPE1 Wt % Component 2 20 20 20 20 20 Blown Film Rate Std. Std. Std. Std. Std. Haze (%) 19.4 25.3 9.8 38.8 13.5 Haze, Internal (%) 1.6 2.4 2.5 2.3 1.6 45 Degree Gloss (%) 32.4 23.9 55.7 16.5 43.0 Clarity (%) 69.7 60.7 88.9 44.2 83.3 MD Tear (g) 201 159 246 135 224 CD Tear (g) 340 336 369 317 377 Normalized MD Tear (g/mil) 103 81 126 67 114 Normalized CD Tear (g/mil) 174 171 188 159 192 Dart Drop Impact (g) 169 145 163 154 172 Puncture (ft-lbf/in³) 63 59 80 66 85 2% MD Secant Modulus (kpsi) 32.4 33.7 31.2 32.2 33.7 2% CD Secant Modulus (kpsi) 38.2 38.9 35.2 37.7 34.9 MD Shrink Tension (psi) 35.80 42.34 24.91 41.80 32.65 CD Shrink Tension (psi) 0.58 0.81 0.47 0.37 0.52 Thickness (mil) 1.93 1.90 2.10 2.01 1.86 Frost Line Height (inches) 35 35 35 35 35 Melt Temperature (° F.) 437 439 435 441 442 Rate Output (lb/hr) 250 250 251 252 251 Rate Output (lb/hr/in) 9.9 9.9 10.0 10.0 10.0 Screen Pressure (psi) 2,830 3,000 2,790 3,100 3,230 Blend Compositions

Blends of the same compositions used for the blown films were made for further characterization. The blend components were compounded using an “18 mm” twin screw extruder (micro-18). The twin screw extruder used was a Leistritz machine controlled by Haake software. The extruder had five heated zones, a feed zone, and a “3 mm” strand die. The feed zone was cooled by flowing water, while the remaining zones 1-5 and the die were electrically heated and air cooled to 120, 135, 150, 190, 190, and 190° C., respectively. The pelletized polymer components were combined in a plastic bag, and tumble blended by hand. After preheating the extruder, the load cell and die pressure transducers were calibrated. The drive unit for the extruder was run at 200 rpm, which resulted by gear transfer to a screw speed of 250 rpm. The dry blend was then fed (6-8 lbs/hr) to the extruder through a twin auger K-Tron feeder (model # K2VT20) using pellet augers. The hopper of the feeder was padded with nitrogen, and the feed cone to the extruder was covered with foil, to minimize air intrusion to minimize possible oxygen degradation of the polymer. The resulting strand was water quenched, dried with an air knife, and pelletized with a Conair chopper.

Results are shown in Table 17 for compositions similar to those shown in Tables 9-16, along with measured melt index, melt index ratio, density, and Mw, Mw/Mn, and Mz. The melt strength data are plotted in FIG. 4 showing the differentiation and advantage of IE1 and IE2 as compared to all other LDPEs. IE2 shows similar behavior to autoclave LDPE 662I, but without the disadvantages of poor optics and gels that can result in a film made autoclave resins.

TABLE 17 Properties of blend compositions with Component 2 being LLDPE 1 (wt % component 1 + component 2 = 100 wt %). All MWD metrics in this table obtained from GPC Method B. Blend Blend Blend Wt % Melt Melt Blend Melt Mw Mw/ Mz Component 1 Component Index I2 Index Density Strength (Conv.) Mn (Conv.) (First Polymer) 1 (dg/min) I10/I2 (g/cm³) (cN) (g/mole) (Conv.) (g/mole) NA NA 0.95 7.82 0.9195 3.0 116,405 4.48 424,790 NA NA 0.92 7.92 0.9197 3.3 112,802 4.28 359,035 IE1 5 0.87 8.04 0.9200 7.7 115,378 4.58 375,719 IE2 5 0.85 8.20 0.9200 8.3 114,457 4.41 355,947 AGILITY 1001 5 0.85 8.35 0.9202 8.1 112,877 4.68 367,415 LDPE 662I 5 0.83 8.12 0.9199 8.6 119,170 4.56 403,479 LDPE 132I 5 0.83 8.30 0.9200 6.9 113,560 4.51 371,408 IE1 10 0.80 8.33 0.9200 11.3 116,727 4.81 377,182 IE2 10 0.76 8.46 0.9202 12.9 117,557 4.63 380,858 AGILITY 1001 10 0.82 8.52 0.9203 8.4 111,535 4.54 347,557 LDPE 662I 10 0.80 8.24 0.9204 12.1 122,082 4.69 417,770 LDPE 132I 10 0.74 8.63 0.9208 10.4 113,259 4.58 373,270 IE1 20 0.66 9.26 0.9200 18.1 118,923 5.29 396,338 IE2 20 0.64 9.39 0.9202 19.4 121,298 5.21 396,353 AGILITY 1001 20 0.72 9.15 0.9202 12.8 110,725 4.61 349,287 LDPE 662I 20 0.65 8.92 0.9200 18.8 134,284 5.07 481,163 LDPE 132I 20 0.60 9.72 0.9206 15.0 113,934 4.85 378,039 IE1 50 0.51 12.12 0.9198 30.1 129,948 6.64 424,669 IE2 50 0.43 12.53 0.9197 32.2 136,584 7.09 457,937 AGILITY 1001 50 0.55 11.76 0.9208 20.6 108,229 5.32 338,591 LDPE 662I 50 0.42 11.57 0.9192 32.7 171,553 6.89 629,965 LDPE 132I 50 0.37 12.27 0.9210 24.3 113,796 5.35 364,709 IE1 80 0.45 15.98 0.9191 28.9 140,692 8.19 468,772 IE2 80 0.34 16.79 0.9193 29.4 151,185 9.06 513,576 AGILITY 1001 80 0.48 15.66 0.9204 23.0 104,630 5.89 328,746 LDPE 662I 80 0.39 14.42 0.9192 29.1 205,602 9.00 742,661 LDPE 132I 80 0.27 16.67 0.9209 25.0 138,463 6.87 503,623 

The invention claimed is:
 1. A composition comprising the following: A) a first ethylene-based polymer, formed by a high pressure, free-radical polymerization process, and comprising the following properties: a) a Mw(abs)/Mw(GPC)<2.2, and b) a MS versus I2 relationship: MS≥C×[(I2)^(D)], where C=13.5 cN/(dg/min)^(D), and D=−0.55, c) a melt index (I2) from 0.1 to 0.9 g/10 min; and B) a second ethylene-based polymer; and wherein the second ethylene-based polymer has a melt index (I2) from 0.1 to 4.0 g/10 min; and wherein the first ethylene-based polymer is polymerized in at least one tubular reactor.
 2. The composition of claim 1, wherein the first ethylene-based polymer has the following property: a Mw(abs) versus I2 relationship: Mw(abs)<A×[I2)^(B)], where A=5.00×10² (kg/mole)/(dg/min)^(B), and B=−0.40 (Mw(abs) by GPC method A).
 3. The composition of claim 1, wherein the first ethylene-based polymer has the following property: a Mw(abs) versus I2 relationship: Mw(abs)<A×[(I2)^(B)], where A=4.25×10² (kg/mole)/(dg/min)B, and B=−0.40 (Mw(abs) by GPC method A).
 4. The composition of claim 1, wherein the first ethylene-based polymer has a “weight fraction (w) of molecular weight greater than 10⁶ g/mole, based on the total weight of polymer, as determined by GPC(abs), that meets the following relationship: w<E×[(I2)^(F)], where E=0.110 (dg/min)^(−F), and F=−0.38 (GPC Method A).
 5. The composition of claim 1, wherein the first ethylene-based polymer has a density from 0.910 to 0.940 g/cc (1 cc=1 cm³).
 6. The composition of claim 1, wherein the first ethylene-based polymer has a density greater than, or equal to, 0.912 g/cc.
 7. The composition of claim 1, wherein the first ethylene-based polymer has a density greater than, or equal to, 0.915 g/cc.
 8. The composition of claim 1, wherein the first ethylene-based polymer has a density less than, or equal to, 0.935 g/cc.
 9. The composition of claim 1, wherein the first ethylene-based polymer has a density less than, or equal to, 0.930 g/cc.
 10. The composition of claim 1, wherein the first ethylene-based polymer has a density less than, or equal to, 0.925 g/cc.
 11. The composition of claim 1, wherein the first ethylene-based polymer has a density less than, or equal to, 0.920 g/cc.
 12. The composition of claim 1, wherein the first ethylene-based polymer is present in an amount greater than 0.5 weight percent, based on the sum of the weight of first ethylene-based polymer and the second ethylene-based polymer.
 13. The composition of claim 1, wherein the second ethylene-based polymer present in an amount from 10 to 95 wt %, based on weight of the composition.
 14. The composition of claim 1, wherein the second ethylene-based polymer is an ethylene/α-olefin interpolymer.
 15. The composition of claim 14, wherein the ethylene/α-olefin interpolymer is a heterogeneously branched ethylene/α-olefin interpolymer.
 16. The composition of claim 1, wherein the composition has a density from 0.910 to 0.925 g/cc.
 17. The composition of claim 1, wherein the composition has a melt index (I2) from 0.1 to 1.5 g/10 min.
 18. An article comprising at least one component formed from the composition of claim
 1. 19. A film comprising at least one layer formed from the composition of claim
 1. 20. The film of claim 19, wherein the film comprises at least two layers. 